2465965440 has 192 divisors, whose sum is σ = 8559860400. Its totient is φ = 654151680.

The previous prime is 2465965423. The next prime is 2465965451. The reversal of 2465965440 is 445695642.

2465965440 is a `hidden beast` number, since 2 + 4 + 6 + 596 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214346 + ... + 1216374.

Almost surely, 2^2465965440 is an apocalyptic number.

2465965440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279930200).

2465965440 is an abundant number, since it is smaller than the sum of its proper divisors (6093894960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2465965440 is a wasteful number, since it uses less digits than its factorization.

2465965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2465965440 is about 49658.4880961956. The cubic root of 2465965440 is about 1351.0217121456.

The spelling of 2465965440 in words is "two billion, four hundred sixty-five million, nine hundred sixty-five thousand, four hundred forty".